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- W2952860152 abstract "We study the global existence issue for the two-dimensional Boussinesq system with horizontal viscosity in only one equation. We first examine the case where the Navier-Stokes equation with no vertical viscosity is coupled with a transport equation. Second, we consider a coupling between the classical two-dimensional incompressible Euler equation and a transportdiffusion equation with diffusion in the horizontal direction only. For the both systems and for arbitrarily large data, we construct global weak solutions `a la Leray. Next, we state global wellposedness results for more regular data. Our results strongly rely on the fact that the diffusion occurs in a direction perpendicular to the buoyancy force." @default.
- W2952860152 created "2019-06-27" @default.
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- W2952860152 date "2008-09-29" @default.
- W2952860152 modified "2023-09-25" @default.
- W2952860152 title "Global Existence Results for the Anisotropic Boussinesq System in Dimension Two" @default.
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